Math / Numbers & Operations

QuestionUse unit analysis to convert 193 hours to minutes and to days. Round each of your answers to 1 decimal place as needed. minutes days

Studdy Solution

STEP 1

What is this asking? We need to figure out how many minutes are in 193 hours, and then how many days are in 193 hours. Watch out! Don't mix up your conversion factors!
Remember there are 60 minutes in an hour and 24 hours in a day.

STEP 2

1. Convert hours to minutes
2. Convert hours to days

STEP 3

Alright, let's start with our initial value: $193$ hours.
We want to convert this to minutes.

STEP 4

We know there are $60$ minutes in $1$ hour.
This is our key conversion factor!
We can write this as a fraction: $\frac{60 \text{ minutes}}{1 \text{ hour}}$ .
Notice how the units are part of the fraction!

STEP 5

Now, multiply our initial value by our conversion factor:
$193 \text{ hours} \cdot \frac{60 \text{ minutes}}{1 \text{ hour}}$

STEP 6

See how the "hours" unit appears in both the numerator and denominator?
They divide to one and vanish, leaving us with just minutes!
This is why it's called unit analysis – the units guide us!
$193 \cdot 60 \text{ minutes} = 11580 \text{ minutes}$

STEP 7

So, $193$ hours is equal to $11580$ minutes!

STEP 8

Now, let's convert our initial value of $193$ hours to days.

STEP 9

We know there are $24$ hours in $1$ day.
This gives us the conversion factor: $\frac{1 \text{ day}}{24 \text{ hours}}$ .

STEP 10

Let's multiply our initial value by this new conversion factor:
$193 \text{ hours} \cdot \frac{1 \text{ day}}{24 \text{ hours}}$

STEP 11

Again, the "hours" unit divides to one, leaving us with just days!
$\frac{193}{24} \text{ days}$

STEP 12

Now, divide $193$ by $24$ :
$\frac{193}{24} \approx 8.041666\ldots \text{ days}$

STEP 13

The problem asks us to round to one decimal place.
So, $193$ hours is approximately equal to $8.0$ days!

STEP 14

$193$ hours is equal to $11580$ minutes. $193$ hours is approximately equal to $8.0$ days.

Was this helpful?

QuestionUse unit analysis to convert 193 hours to minutes and to days. Round each of your answers to 1 decimal place as needed. minutes days

Studdy Solution

STEP 1

What is this asking? We need to figure out how many minutes are in 193 hours, and then how many days are in 193 hours. Watch out! Don't mix up your conversion factors!
Remember there are 60 minutes in an hour and 24 hours in a day.

STEP 2

1. Convert hours to minutes
2. Convert hours to days

STEP 3

Alright, let's start with our initial value: $193$ hours.
We want to convert this to minutes.

STEP 4

We know there are $60$ minutes in $1$ hour.
This is our key conversion factor!
We can write this as a fraction: $\frac{60 \text{ minutes}}{1 \text{ hour}}$ .
Notice how the units are part of the fraction!

STEP 5

Now, multiply our initial value by our conversion factor:
$193 \text{ hours} \cdot \frac{60 \text{ minutes}}{1 \text{ hour}}$

STEP 6

See how the "hours" unit appears in both the numerator and denominator?
They divide to one and vanish, leaving us with just minutes!
This is why it's called unit analysis – the units guide us!
$193 \cdot 60 \text{ minutes} = 11580 \text{ minutes}$

STEP 7

So, $193$ hours is equal to $11580$ minutes!

STEP 8

Now, let's convert our initial value of $193$ hours to days.

STEP 9

We know there are $24$ hours in $1$ day.
This gives us the conversion factor: $\frac{1 \text{ day}}{24 \text{ hours}}$ .

STEP 10

Let's multiply our initial value by this new conversion factor:
$193 \text{ hours} \cdot \frac{1 \text{ day}}{24 \text{ hours}}$

STEP 11

Again, the "hours" unit divides to one, leaving us with just days!
$\frac{193}{24} \text{ days}$

STEP 12

Now, divide $193$ by $24$ :
$\frac{193}{24} \approx 8.041666\ldots \text{ days}$

STEP 13

The problem asks us to round to one decimal place.
So, $193$ hours is approximately equal to $8.0$ days!

STEP 14

$193$ hours is equal to $11580$ minutes. $193$ hours is approximately equal to $8.0$ days.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionUse unit analysis to convert 193 hours to minutes and to days. Round each of your answers to 1 decimal place as needed. minutes days

Studdy Solution

STEP 1

What is this asking? We need to figure out how many minutes are in 193 hours, and then how many days are in 193 hours. Watch out! Don't mix up your conversion factors!Remember there are 60 minutes in an hour and 24 hours in a day.

STEP 2

1. Convert hours to minutes2. Convert hours to days

STEP 3

Alright, let's **start** with our **initial value**: 193193193 hours.We want to convert this to minutes.

STEP 4

We know there are 606060 minutes in 111 hour.This is our **key conversion factor**!We can write this as a fraction: 60 minutes1 hour\frac{60 \text{ minutes}}{1 \text{ hour}}1 hour60 minutes​.Notice how the units are part of the fraction!

STEP 5

Now, **multiply** our **initial value** by our **conversion factor**:193 hours⋅60 minutes1 hour193 \text{ hours} \cdot \frac{60 \text{ minutes}}{1 \text{ hour}}193 hours⋅1 hour60 minutes​

STEP 6

STEP 7

So, 193193193 hours is equal to **115801158011580 minutes**!

STEP 8

Now, let's convert our **initial value** of 193193193 hours to days.

STEP 9

We know there are 242424 hours in 111 day.This gives us the **conversion factor**: 1 day24 hours\frac{1 \text{ day}}{24 \text{ hours}}24 hours1 day​.

STEP 10

Let's **multiply** our **initial value** by this **new conversion factor**:193 hours⋅1 day24 hours193 \text{ hours} \cdot \frac{1 \text{ day}}{24 \text{ hours}}193 hours⋅24 hours1 day​

STEP 11

Again, the "hours" unit divides to one, leaving us with just days!19324 days \frac{193}{24} \text{ days} 24193​ days

STEP 12

Now, **divide** 193193193 by 242424:19324≈8.041666… days\frac{193}{24} \approx 8.041666\ldots \text{ days}24193​≈8.041666… days

STEP 13

The problem asks us to round to **one decimal place**.So, 193193193 hours is approximately equal to **8.08.08.0 days**!

STEP 14

193193193 hours is equal to 115801158011580 minutes. 193193193 hours is approximately equal to 8.08.08.0 days.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We need to figure out how many minutes are in 193 hours, and then how many days are in 193 hours. Watch out! Don't mix up your conversion factors!
Remember there are 60 minutes in an hour and 24 hours in a day.

1. Convert hours to minutes
2. Convert hours to days

Alright, let's start with our initial value: $193$ hours.
We want to convert this to minutes.

We know there are $60$ minutes in $1$ hour.
This is our key conversion factor!
We can write this as a fraction: $\frac{60 \text{ minutes}}{1 \text{ hour}}$ .
Notice how the units are part of the fraction!

Now, multiply our initial value by our conversion factor:
$193 \text{ hours} \cdot \frac{60 \text{ minutes}}{1 \text{ hour}}$

So, $193$ hours is equal to $11580$ minutes!

Now, let's convert our initial value of $193$ hours to days.

We know there are $24$ hours in $1$ day.
This gives us the conversion factor: $\frac{1 \text{ day}}{24 \text{ hours}}$ .

Let's multiply our initial value by this new conversion factor:
$193 \text{ hours} \cdot \frac{1 \text{ day}}{24 \text{ hours}}$

Again, the "hours" unit divides to one, leaving us with just days!
$\frac{193}{24} \text{ days}$

Now, divide $193$ by $24$ :
$\frac{193}{24} \approx 8.041666\ldots \text{ days}$

The problem asks us to round to one decimal place.
So, $193$ hours is approximately equal to $8.0$ days!

$193$ hours is equal to $11580$ minutes. $193$ hours is approximately equal to $8.0$ days.